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1. Consider the following greedy algorithm for finding a maximum matching in a bipartite graph G =
Sort all the vertices in nondecreasing order of their degrees. Scan this sorted list to add to the current matching (initially empty) the edge from the list's free vertex to an adjacent free vertex of the lowest degree. If the list's vertex is matched or if there are no adjacent free vertices for it, the vertex is simply skipped. Does this algorithm always produce a maximum matching in a bipartite graph?
2. Design a linear-time algorithm for finding a maximum matching in a tree.
Dee Fektiv is concerned that too many forms are being filled out incorrectly. She feels that about 10 percent of forms have an error. a. How large a sample size should Dee use to be 99% certain that she will be within 0.02?
In terms of your own research try to formulate a problem that appears suitable for multivariate analysis.
Describe the efforts underway in the miniaturization of integrated circuits when moving from the micrometer scale to the nanometer scale using nanotechnology.
The complexity of the comparison-based sorting algorithms presented, on the average case, is O(n 2). Design a comparison-based sorting algorithm with a lower complexity. What is the underlying premise that lowers its complexity?
Experiment with its performance on bipartite graphs with n vertices in each of the vertex sets and randomly generated edges (in both dense and sparse modes) to compare the observed running time with the algorithm's theoretical efficiency.
The news media often publicizes cyber crime activities. Discuss one of the cyber crimes you have heard about, explaining the crime along with how it was discovered and investigated? What was the outcome? If the investigation is ongoing, based on t..
Consider your home, school, or current place of employment. What would you do to increase your organization's physical security? Try to think of the most cost-effective measures that would have the biggest impact.
Rerun the algorithm, but do not rerun the set.seed() code. This will cause the algorithm to use different random numbers. Re-examine the same items as requested in (a) - (c) and compare to what you obtained initially.
1.Make a list of the field names and field types you plan to include in the table. What fields are you going to put in this table? What are their field types? Would it make sense to reduce any of the field sizes? Do you need to add captions?
Write a program to find the sum of all the multiples of 3 or 5 below N. for example: If we list all the natural numbers below 10 that are multiples of 3 or 5, we get 3, 5, 6 and 9. The sum of these multiples is 23.
Think about an episode of healthcare that you received, or that someone you know received. Describe how that care experience would have differed had it been delivered in accordance with these six attributes of an ideal health system.
Describe a complete application scenario in which new knowledge may be mined from an existing database of transactions.
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